What is the Greatest Common Factor of 13023 and 13035?

Greatest common factor (GCF) of 13023 and 13035 is 3.

GCF(13023,13035) = 3

We will now calculate the prime factors of 13023 and 13035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13023 and 13035.

How to find the GCF of 13023 and 13035?

We will first find the prime factorization of 13023 and 13035. After we will calculate the factors of 13023 and 13035 and find the biggest common factor number .

Step-1: Prime Factorization of 13023

Prime factors of 13023 are 3, 1447. Prime factorization of 13023 in exponential form is:

13023 = 3² × 1447¹

Step-2: Prime Factorization of 13035

Prime factors of 13035 are 3, 5, 11, 79. Prime factorization of 13035 in exponential form is:

13035 = 3¹ × 5¹ × 11¹ × 79¹

Step-3: Factors of 13023

List of positive integer factors of 13023 that divides 13023 without a remainder.

1, 3, 9, 1447, 4341

Step-4: Factors of 13035

List of positive integer factors of 13035 that divides 13023 without a remainder.

1, 3, 5, 11, 15, 33, 55, 79, 165, 237, 395, 869, 1185, 2607, 4345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13023 and 13035. The biggest common factor number is the GCF number.
So the greatest common factor 13023 and 13035 is 3.

Also check out the Least Common Multiple of 13023 and 13035